2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/203049We construct all quintic invariants in five variables with simple Non-Abelian finite symmetry groups. These define Calabi-Yau three-folds which are left invariant by the action of A_5, A_6 or PSL_2(11).18 pages, typos corrected, matches published versionHigh Energy Physics - Theorytext